Is it possible for a doctor (with an MBBS from a govt. medical college in Bangladesh) to get into a graduate program or medical school

Generally no! There have been historical exceptions. During World War II some schools graduated students after three years to make doctors available for the war effort. There have been exigent circumstances where students have been allowed to leave early but they still graduate at the proper time with their class but in absentia. Richard Coulson , former Professor Medicine, Medical Education, Physiology at Southern Illinois University Carbondale (1978-200… Source: Quora Digest

Yes there are some medical admin courses like MPH or Ph D in public health which do not require USMLE. You can try Ph D in pharmacology as well.But there are requirements for admission such as TOEFL and GRE where you have to excel,But, USMLE is the best way of furthering your medical studies in USA. Tulasi Sitaula , Professional Engineer, P.E. at Freelancers (1989-present) Source: Quora Digest

well, to be honest its difficult but not impossible. In government organization its quiet impossible. But in private sector its very much possible.Because of heavy number of application and India nationals get priority. Only a portion is reserved for International students.According to the procedure you got to take part in admission test. You have to apply in Foreign category.Foreign/NRI Category: Foreign nationals with OCI/PIO cards or NRI or Indian nationals supported by either Parents or Brothers or Sisters or Spouse having an NRI status are eligible for admissions under Foreign/NRI category.Note : For NRI category the candidates need to submit the photocopy of the passport and photocopy of the sponsoring relative’s passport. If the spouse is sponsoring and his/her name is not reflected in the passport, marriage registration certificate should be submitted. No other certificate or affidavit in lieu of the above will be accepted. Also a photocopy of notary affidavit by the sponsoring relative from the country of residence in the format available in the website will have to be submitted.there are several institutions who reserve up to 15% of seats for international students. SM Mainul Porag , former Debater at CUET Debating Society (2010-2014) Source: Quora Digest